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Finding the Fourth Proportional to 2,641.95, 3,963.13 and 792.92

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Solution

The fourth proportional to 2,641.95, 3,963.13 and 792.92 is: 1,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.95 : 3,963.13 = 792.92 : x
  2. Step 2: Convert to fraction form
    2,641.95/3,963.13 = 792.92/x
  3. Step 3: Cross multiply
    2,641.95x = 3,963.13 × 792.92
  4. Step 4: Simplify right side
    2,641.95x = 3,142,452.97
  5. Step 5: Solve for x
    x = 3,142,452.97/2,641.95
  6. Step 6: Final answer
    x = 1,189.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.